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3 years ago

If two parallel planes are cut by a third plane, then the lines of intersection are _________.

Mathematics

2 answers:

7nadin3 [17]3 years ago

8 0

Parallel planes are two planes that do not intersect.

Theorem: If two parallel planes are cut by a third plane, then the lines of intersection are parallel.

In the attached picture you can see two parallel planes P and M that are cut by plane R. The lines of intersection are:

CD - planes P and R;
AB - planes M and R.

Conclusion: AB||CD.

Answer: parallel.

maxonik [38]3 years ago

6 0

If two parallel planes are cut by a third plane, then the lines of intersection are parallel and cannot intersect one another.

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The volleyball team and the wrestling team at Stamford High School are having a joint car wash today,

Sedbober [7]

Answer:

Money raised by each team = 94 + 11 = $105

Number of cars washed = 11

Step-by-step explanation:

Money already present with volleyball team = $50

Money raised by washing each car by volleyball team = $5

Let the number of cars washed = $x$

Money raised by washing cars = $5 $x$

Money already present with volleyball team = $94

Money raised by washing each car by volleyball team = $1

Money raised by washing cars = $1 $x$ = $ $x$

Given that, both the teams have raised same amount of money:

$50+5x=94+x\\\Rightarrow 44=4x\\\Rightarrow x=11$

Money raised by each team = 94 + 11 = $105

Number of cars washed = 11

4 0

3 years ago

Arrange these fractions in ascending order: 3/4, 2/5, 3/8, 7/10, 11/20, 23/40. Please help it’s due tomorrow and I’m big dumb

disa [49]

Answer:

3/8, 2/5, 11/20, 23/40, 7/10, 3/4

Step-by-step explanation:

Just change them all to the same denominator and you're good. Put all of the fractions' denominators to 40 as that's the least common denominator. 3/4 turns into 30/40. 2/5 turns into 16/40. 3/8 turns into 15/40. 7/10 turns into 28/40. 11/20 turns into 22/40. And 23/40 stays as it is, because the denominator is already 40.

Putting them in order is now simple,

3/8 (15/40) < 2/5 (16/40) < 11/20 (22/40) < 23/40 < 7/10 (28/40) < 3/4 (30/40)

***When you multiply any fraction to change its denominator, multiply it by the same thing to the numerator as well.

Good Luck!

8 0

4 years ago

A triangle has vertices X(2, 1), Y(5, 4), and Z(5, 1). What is the area of the triangle?

pochemuha

Answer:

Step-by-step explanation:

They gave you an easy triangle. You can tell by the coordinates that X and Z are horizontally aligned, and Y and Z are vertically aligned, so Z is a right angle.

Area = 0.5(XZ)(YZ) = 0.5(3)(3) = 4.5 square units.

3 0

3 years ago

Suppose that a cyclist began a 374 mi ride across a state at the western edge of the state, at the same time that a car traveli

kherson [118]

This is the concept of relative speed; We are required to calculate the speed of the car and the bicycle.
Distance between the car and Bicycle=374 miles
Time they met=5.5 hr
Speed traveled by bicycle=x
Speed traveled by car=x+33.4334
Relative speed=x+(x+33.4334)=(2x+33.4334) mph
Distance=speed*time
374=(2x+33.4334)*5.5
374=11x+183.8837
collecting like term we get:
374-183.8837=11x
11x=190.1163
thus;
x=(190.1163)/(11)
x=17.2833 mph
thus the speed of the bicycle was x=17.2833 mph
The speed of the car was (x+33.4334)=(17.2833+33.4334)=50.7167 mph

4 0

4 years ago

Pythagorean theorem in 3D.

Mekhanik [1.2K]

Answer:

s = 5.4

Step-by-step explanation:

2^2 + 5^2 = s^2

s^2 = 4 + 25

s^2 = 29

s = sqrt(29)

s = 5.4

6 0

3 years ago